📚 Learning Guide
Game Theory Strategies
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In a game where two firms must decide whether to advertise or not, which scenario best illustrates a Nash equilibrium?

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Choose the Best Answer

A

Both firms choose to advertise, and neither can improve their payoff by changing their strategy.

B

One firm advertises while the other does not, leading to a higher payoff for the advertising firm.

C

Both firms choose not to advertise, resulting in both having higher payoffs than if they advertised.

D

Both firms alternate between advertising and not advertising to maximize their payoffs.

Understanding the Answer

Let's break down why this is correct

Answer

A Nash equilibrium occurs when each firm makes the best decision they can, considering the decision of the other firm. In this game, if both firms choose to advertise, neither can improve their situation by changing their choice alone, because if one stops advertising while the other continues, the one that advertises will gain more customers. For example, imagine Firm A and Firm B both decide to advertise; if Firm A stops while Firm B continues, Firm A will lose customers and profits. Therefore, the situation where both firms advertise is stable, as changing their strategy unilaterally would not benefit either firm. This mutual decision illustrates the Nash equilibrium, where both firms are doing the best they can given the other's choice.

Detailed Explanation

In this situation, both firms advertising means they are doing the best they can. Other options are incorrect because This shows one firm doing better, but the other firm is missing out; Here, both firms not advertising seems good, but they could earn more if they both chose to advertise.

Key Concepts

Nash equilibrium
Dominant strategies
Oligopolistic competition
Topic

Game Theory Strategies

Difficulty

medium level question

Cognitive Level

understand

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